We present a theoretical and numerical study of mass transport in a porous medium saturated with a fluid and characterised by an evolving internal structure. The dynamics of the porous medium and the fluid as well as their reciprocal interactions are described at a coarse scale, so that the fundamental tools of Mixture Theory and Continuum Mechanics can be used. The evolution of the internal structure of the porous medium, which is here primarily imputed either to growth or to mass exchange with the fluid, is investigated by enriching the space of kinematic variables of the mixture with a set of structural descriptors, each of which is power-conjugate to generalised forces satisfying a balance law. Establishing the influence of the structural change of the porous medium on the transport properties of the mixture and, thus, on the quantities characterising fluid flow is the crux of our contribution.

Mass Transport in Porous Media with Variable Mass / Grillo, Alfio; Giverso, Chiara; Favino, M.; Krause, R.; Lampe, M.; Wittum, G.. - STAMPA. - 27:(2012), pp. 27-61. [10.1007/978-3-642-30532-0_2]

Mass Transport in Porous Media with Variable Mass

GRILLO, ALFIO;GIVERSO, CHIARA;
2012

Abstract

We present a theoretical and numerical study of mass transport in a porous medium saturated with a fluid and characterised by an evolving internal structure. The dynamics of the porous medium and the fluid as well as their reciprocal interactions are described at a coarse scale, so that the fundamental tools of Mixture Theory and Continuum Mechanics can be used. The evolution of the internal structure of the porous medium, which is here primarily imputed either to growth or to mass exchange with the fluid, is investigated by enriching the space of kinematic variables of the mixture with a set of structural descriptors, each of which is power-conjugate to generalised forces satisfying a balance law. Establishing the influence of the structural change of the porous medium on the transport properties of the mixture and, thus, on the quantities characterising fluid flow is the crux of our contribution.
9783642305313
Numerical Analysis of Heat and Mass Transfer in Porous Media, Advanced Structured Materials
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2498850
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